There are two barber shop in a small town – one located in the eastern market and the other on the northern market. The shop in the eastern market is quite untidy and the barber has a shabby haircut. While the shop in the northern market is quite neat and clean and the barber is sporting an excellent haircut himself.

Anybody will prefer the shop in the eastern market for sure. There are two reasons for it:
Firstly, since there are only two barbers in the town, the one running the shop in eastern market must have gotten his hair done by the one running the shop in the northern market and vice versa. Thus, if the barber in the eastern market has a shabby haircut, it must be due to the incompatibility.
Secondly, the neat and clean shop can be due to the scarcity of customers as well. While the untidy place refers to the fact that so many customers get their hair done in that shop.

A professor gives a set of three questions to the most brilliant students of his university. You can see the questions in the attached image if required. To his surprise, there are different answers by all three of them. Below are the answers by them:

Student A
1. Two
2. Six
3. Two

Student B
1. Two
2. Three
3. Infinity

Student C
1. One
2. Three
3. Two

Now you have the information that each one of them has given one answer wrong, can you find out the real answers to every problem?

Since each one of them gave one answer wrong, this means that each one of them gave two answers right.

Let us assume that Student A gave a wrong answer to the first question. This will mean that Student B also gave a wrong answer for the first. This will conclude that the rest of the two answers given by them are correct. However, the answers are different and thus it is not possible.

Thus both Student A and Student B must be right with the first question and the answer to the first is two.

If you keep applying the same logic, you will come to a conclusion that following are the correct answers:
Q1. Two
Q2. Three
Q3. Two

Michelangelo is being chased by a couple of cannibals who will kill him as soon as they get a hold of him. The only way to get rid of them is crossing the river bridge made of ropes and cut it on reaching the other end. He have found two diamonds in the woods each weighing 8 lbs. The rope is weak and can only accommodate a weight of 150 lbs. He weighs 140 lbs. Still he manages to cross the bridge and get rid of the cannibals with the diamonds without taking off any kind of clothing.

In a closed jar, there are three strawberry candies, two mango candies and five pineapple candies. You can't see inside the jar. Now, how many toffees you must take out from the jar to make sure that you have one of each flavor?

Explanation:
2 < 3 < 5
To find out the required number of candies, take one in place of the least number (i.e. take one mango candy) and then add all the greater numbers (i.e. three strawberry and five pineapple candies) to it.